Pith Number

pith:5EYVSNBW

pith:2016:5EYVSNBWDWYWXEDT5X7UPR4IXW

not attested not anchored not stored refs pending

Dependence of vector fields and singular controls

Goo Ishikawa, Wataru Yukuno

arxiv:1602.02465 v1 · 2016-02-08 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EYVSNBWDWYWXEDT5X7UPR4IXW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:21:09.855545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9315934361db16b9073edff47c788bd85971836c93d74f75e68f55493a1b14b

Aliases

arxiv: 1602.02465 · arxiv_version: 1602.02465v1 · doi: 10.48550/arxiv.1602.02465 · pith_short_12: 5EYVSNBWDWYW · pith_short_16: 5EYVSNBWDWYWXEDT · pith_short_8: 5EYVSNBW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5EYVSNBWDWYWXEDT5X7UPR4IXW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e9315934361db16b9073edff47c788bd85971836c93d74f75e68f55493a1b14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1374f7d1ab00ed90eb9e846c2e1036a20d01f0f0ad57b0544c7d9d9805af69df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-08T05:17:40Z",
    "title_canon_sha256": "9b79ee964cf27e203a4965babd40403700f36228bea54a9bb7e15fe77de480e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02465",
    "kind": "arxiv",
    "version": 1
  }
}